Spiralize the zucchini into noodles and set aside.
Heat the avocado oil in a large (12-inch) skillet over medium-high heat until hot.
Add the chicken strips to the hot skillet in an even layer, season with sea salt and black pepper, and cook undisturbed for 3 minutes to brown.
Stir the chicken and continue cooking 3 to 5 minutes more, until pieces are cooked through and golden.
Stir in the minced garlic, canned coconut milk, sun-dried tomatoes, and chopped kalamata olives and bring the mixture to a full boil.
Sprinkle in the gluten-free flour or tapioca flour and whisk or stir until no lumps remain; continue boiling the sauce about 4 minutes until it thickens.
Add the zucchini noodles to the skillet and gently stir to coat them in the sauce.
Cover the skillet and cook 3 to 5 minutes until the noodles reach your desired doneness.
Taste and adjust seasoning with sea salt and pepper; optionally add a squeeze of fresh lemon juice or grated parmesan before serving.